a) Calculate the linear acceleration of a car, the 0.300 m radius tires of which have an angular acceleration of 10 rad/sec^2, assume no slippage.(adsbygoogle = window.adsbygoogle || []).push({});

a = ???

r = 0.30 m

Rot acc = 10.0 rad/s^2

a = r * (rotational acc)

a = .3 m * 10 rad/s^2

a = 3.0 m/s^2

b) How many revolutions do the tires make in 2.5 s if they start from a rest???

V final = 10 rad/s^2 * 2.5 s * 1 rev / 2pie rad = 3.98 rev/s

(Vf - Vo)/2 should give average velocity so

(3.98 rev/s)/2 = 1.98 rev/s

1.98 rev/s * 2.5 s = 4.97 rev

c) What is their final angular velocity???

W = Wo + (rotational acc) * time

W = 10 rad/s^2 = 25 rad/s

d) What is the final velocity of the car???

v = (.3m) * (25 rad/s) = 7.5 m/s

Could someone check this please - I feel relatively confident - but you will not hurt my feelings if you tell me I am wrong.

Thanks

Nautica

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Calculate the linear acceleration of a car

**Physics Forums | Science Articles, Homework Help, Discussion**